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4345640 = 2351361137
BaseRepresentation
bin10000100100111100101000
322011210002122
4100210330220
52103030030
6233050412
751636335
oct20447450
98153078
104345640
1124a8a42
121556a08
13b91cb0
1481198c
155ac8e5
hex424f28

4345640 has 64 divisors (see below), whose sum is σ = 10780560. Its totient is φ = 1566720.

The previous prime is 4345639. The next prime is 4345651. The reversal of 4345640 is 465434.

4345640 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 289444 + 4056196 = 538^2 + 2014^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31652 + ... + 31788.

Almost surely, 24345640 is an apocalyptic number.

4345640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390280).

4345640 is an abundant number, since it is smaller than the sum of its proper divisors (6434920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4345640 is a wasteful number, since it uses less digits than its factorization.

4345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4345640 is about 2084.6198694246. The cubic root of 4345640 is about 163.1866330523.

The spelling of 4345640 in words is "four million, three hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 137 244 260 274 305 488 520 548 610 685 793 1096 1220 1370 1586 1781 2440 2740 3172 3562 3965 5480 6344 7124 7930 8357 8905 14248 15860 16714 17810 31720 33428 35620 41785 66856 71240 83570 108641 167140 217282 334280 434564 543205 869128 1086410 2172820 4345640